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3 years ago

6.

Mathematics

1 answer:

larisa86 [58]3 years ago

3 0

V=ca times height
1040=40 times h
H=1040 divide by 40
Height=26

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Write the equation of the line that passes through the points (2,2) and (3,4)

Scrat [10]

9514 1404 393

Answer:

y -2 = 2(x -2)

Step-by-step explanation:

The slope of the line is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (4 -2)/(3 -2) = 2/1 = 2

The point-slope form of the equation for the line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For the first point and the slope we found, the equation is ...

y -2 = 2(x -2)

You can rearrange this to any form you may like.

y -2 = 2x -4 . . . eliminate parentheses

y = 2x -2 . . . . . slope-intercept form

2x -y = 2 . . . . . standard form

8 0

3 years ago

Which of the following changes in the price index produces the greatest rate of inflation: 106 to 112, 112 to 118, or 118 to 124

boyakko [2]

Answer:

Step-by-step explanation:

firstly you have to find the rate of change of the various price index in percentage.

A, From 106 to 112:

we find the difference 112-106 = 6

then the rate of change = 6/106 * 100 = 5.66%.

B ,From 112 to 118:

we find the difference 118-112 = 6

then the rate of change = 6/118 * 100 = 5.36%.

C ,From 118 to 124:

we find the difference 124-118 = 6

then the rate of change = 6/124 * 100 = 5.08%.

we can see that the price index with the greatest percentage is A.

3 0

3 years ago

The probability that a professor arrives on time is 0.8 and the probability that a student arrives on time is 0.6. Assuming thes

saul85 [17]

Answer:

a)0.08 , b)0.4 , C) i)0.84 , ii)0.56

Step-by-step explanation:

Given data

P(A) = professor arrives on time

P(A) = 0.8

P(B) = Student aarive on time

P(B) = 0.6

According to the question A & B are Independent

P(A∩B) = P(A) . P(B)

Therefore

${A}'$ & ${B}'$ is also independent

${A}'$ = 1-0.8 = 0.2

${B}'$ = 1-0.6 = 0.4

part a)

Probability of both student and the professor are late

P(A'∩B') = P(A') . P(B') (only for independent cases)

= 0.2 x 0.4

= 0.08

Part b)

The probability that the student is late given that the professor is on time

$P(\frac{B'}{A})$ = $\frac{P(B'\cap A)}{P(A)}$ = $\frac{0.4\times 0.8}{0.8}$ = 0.4

Part c)

Assume the events are not independent

Given Data

P $(\frac{{A}'}{{B}'})$ = 0.4

= $\frac{P({A}'\cap {B}')}{P({B}')}$ = 0.4

$P$ $({A}'\cap {B}')$ = 0.4 x P $({B}')$

= 0.4 x 0.4 = 0.16

$P({A}'\cap {B}')$ = 0.16

The probability that at least one of them is on time

$P(A\cup B)$ = 1- $P({A}'\cap {B}')$

= 1 - 0.16 = 0.84

ii)The probability that they are both on time

P $(A\cap B)$ = 1 - $P({A}'\cup {B}')$ = 1 - $[P({A}')+P({B}') - P({A}'\cap {B}')]$

= 1 - [0.2+0.4-0.16] = 1-0.44 = 0.56

6 0

3 years ago

The figure shows a line graph and two shaded triangles that are similar:

bija089 [108]

Answer:

ok so id u go to this app {{mega .ogastry i put it right there

but {0-23

Step-by-step explanation:

7 0

2 years ago

A line has a slope of -2/3and passes through the point (-3, 8). What is the equation of the line?

Pie

Answer:

y = -2/3 + 6

Step-by-step explanation:

Slope = -2/3

Point (- 3, 8)

b = 8 - (-2/3)(-3)

= 8 - 2

= 6

4 0

3 years ago